Efficient finite-difference calculation procedure for multi-dimensional fluid flows.

An efficient numerical scheme has been developed for the solution of the finite differenced pressure linked fluid flow equations. The algorithm solves the set of nonlinear simultaneous equations by a combination of Newton's method and efficient sparse matrix techniques. In tests on typical recirculating flows the method is rapidly convergent. The method does not require any under relaxation or other convergence enhancing techniques employed in other solution schemes. It is currently described for two dimensional steady state flows but is extendible to three dimensions and mildly time varying flows. The method is robust to changes in Reynolds number, grid aspect ratio, and mesh size. This paper reports the algorithm and the results of calculations performed.